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112299408 = 243213239251
BaseRepresentation
bin1101011000110…
…00110110010000
321211022101211100
412230120312100
5212222040113
615050544400
72532346344
oct654306620
9254271740
10112299408
1158432231
1231738100
131a35bb70
1410cb3624
159cd3d73
hex6b18d90

112299408 has 120 divisors (see below), whose sum is σ = 341228160. Its totient is φ = 34272000.

The previous prime is 112299373. The next prime is 112299413. The reversal of 112299408 is 804992211.

It is a super-2 number, since 2×1122994082 = 25222314074300928, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 447283 + ... + 447533.

It is an arithmetic number, because the mean of its divisors is an integer number (2843568).

Almost surely, 2112299408 is an apocalyptic number.

112299408 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112299408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170614080).

112299408 is an abundant number, since it is smaller than the sum of its proper divisors (228928752).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

112299408 is a wasteful number, since it uses less digits than its factorization.

112299408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 517 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 112299408 is about 10597.1415013672. The cubic root of 112299408 is about 482.4576039064.

The spelling of 112299408 in words is "one hundred twelve million, two hundred ninety-nine thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 239 251 312 468 478 502 624 717 753 936 956 1004 1434 1506 1872 1912 2008 2151 2259 2868 3012 3107 3263 3824 4016 4302 4518 5736 6024 6214 6526 8604 9036 9321 9789 11472 12048 12428 13052 17208 18072 18642 19578 24856 26104 27963 29367 34416 36144 37284 39156 49712 52208 55926 58734 59989 74568 78312 111852 117468 119978 149136 156624 179967 223704 234936 239956 359934 447408 469872 479912 539901 719868 779857 959824 1079802 1439736 1559714 2159604 2339571 2879472 3119428 4319208 4679142 6238856 7018713 8638416 9358284 12477712 14037426 18716568 28074852 37433136 56149704 112299408